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Finding the Third Proportional to 161,156 and 349,096

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Solution

The third proportional to 161,156 and 349,096 is: 756,211.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,156 : 349,096 = 349,096 : x
  2. Step 2: Convert to fraction form
    161,156/349,096 = 349,096/x
  3. Step 3: Cross multiply
    161,156x = 349,096 × 349,096
  4. Step 4: Simplify right side
    161,156x = 121,868,017,216
  5. Step 5: Solve for x
    x = 121,868,017,216/161,156
  6. Step 6: Final answer
    x = 756,211.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.